Question

David lifts a book 1.2 meters from the floor to the top of his desk. If the book weighed 0.50 kg, what is the gravitational potential energy gained by the book? Estimate g as 9.81.

Answer 1

The gain in gravitational potential energy is 5.89 J

Explanation:

The gravitational potential energy gained by an object when lifted above the ground is given by

$\Delta U = mg \Delta h$

where:

m is the mass of the object

$g=9.81 m/s^2$ is the acceleration due to gravity

$\Delta h$ is the change in height of the object

In this problem, we are given:

m = 0.50 kg (mass of the book)

$\Delta h = 1.2 m$ (change in height of the book)

Substituting, we find the gain in gravitational potential energy:

$\Delta U = (0.50)(9.81)(1.2)=5.89 J$

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